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WorksheetsMath 9 Q1 - Unit Test
Total questions: 24
Worksheet time: 10mins
It is a polynomial equation of degree two that can be written in the form a x² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.
Quadratic Inequality
Quadratic Equation
Linear Inequality
Linear Equation
Which of the following equations is quadratic?
6x² + x³ + 4 = 0
10- 7x = 0
4y + 8 = 0
16 + r² = 8r
In the quadratic equation x² - x - 12 = 0, what are the values of a, b, and c?
a = 1, b = 0, c = -12
a = 1, b = -1, c = -12
a = -3, b = 0, c = -12
a = 3, b = 0, c = 12
In the quadratic equation 3x² - 7x + 1 = 0, which is the quadratic term?
x²
-7x²
-7x
3x²
In the quadratic equation x² - 5x + 6 = 0?, which is the constant term?
x²
-5
6
-5x
What is the standard form of the quadratic equation 5x (x + 2) = 1?
5x² + 10x - 1 = 0
5x² + 2x - 1 = 0
5x² + 10x + 1 = 0
x² + 10x = 1
What method can we use to solve a quadratic equation that can be written in the form x² = r?
Quadratic Formula
Extracting Square Roots
Completing the Square
Factoring
Solve for x in the equation x² = 144 by extracting square roots.
14 and -14
16 and -16
23 and -23
12 and -12
The length of a swimming pool is 6m longer than its width. It's area is 40m². How will you represent the equation if x = the width?
(x - 6) (x) = 40
(x + 6)(x) = 40
x² - 6x + 40 = 0
x² - 6x - 40 = 0
Which of the following states that if the product of two real numbers is zero, then either of the two is equal to zero or both numbers are equal to zero?
Multiplication Property
Identity Property
Zero Product Property
Transitive Property
Which of the following quadratic equations may be solved more appropriately by factoring?
2x² = 108
x² + 121 = 0
x² + 18x - 81 = 0
x² - x - 6 = 0
x² - 100 = 0 can be solved by factoring as
Square of a binomial
Difference of 2 squares
Perfect square trinomial
Greatest Common Factor
Complete the square of x² + 10x + ____
5
100
25
225
Complete the square of x² - 6x + _____ = - 14 + _____
x² - 6x + 9 = 5
x² - 6x + 36 = 10
x² - 6x - 36 = 50
x² - 6x + 9 = -5
Express r² - 10r + 25 as square of a binomial
(r + 5)²
(r - 5)²
(r + 10)²
(r - 10)²
Which one is the correct quadratic formula?
Which statement is TRUE?
All quadratic equations can be solved by factoring.
All quadratic equations can be solved by extracting square root.
All quadratic equations can be solved by the quadratic formula.
All quadratic equation can be solved by completing the square.
One of the roots of x² + 3x - 10 = 0 is 2. What is the other root?
-5
7
-7
5
What is the nature of the roots of the quadratic equation if the value of its discriminant is zero?
The roots are rational and not equal
The roots are rational and equal
The roots are real and equal
The equation has no real roots.
What is the nature of the roots of the quadratic equation if the value of its discriminant is positive perfect square?
The roots are rational and equal
The roots are rational and not equal
The roots are real and equal
The equation has no real roots.
What is the discriminant of quadratic equation x² - 4x + 4 = 0?
0
1
24
12
The roots of a quadratic equation are -7 and 3. Which of the following quadratic equations has these roots?
x² - 10x + 21 = 0
x² + 10x + 21 = 0
x² - 4x - 21 = 0
x² + 4x - 21 = 0
Taylor Swift owns a rectangular lot. The perimeter of the lot is 90 m and its area is 450 m². Using your idea of sum and product of roots a quadratic equation, what is the resulting equation?
x² - 90x + 450 = 0
x² + 90x + 450 = 0
x² - 45x + 450 = 0
x² - 45x + 45 = 0
What is your Math teacher's complete name? (First Name, M.I., Last Name)
(a)
